Viscosity Methods of Asymptotically Pseudocontractive and Asymptotically Nonexpansive Mappings for Variational Inequalities

Abstract and Applied Analysis ◽

10.1155/2012/453452 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14

Author(s):

Xionghua Wu ◽

Yeong-Cheng Liou ◽

Zhitao Wu ◽

Pei-Xia Yang

Keyword(s):

Variational Inequalities ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Approximating solutions of variational inequalities on the sets of common fixed points for a semigroup of asymptotically nonexpansive mappings in Banach spaces

Mathematical Sciences ◽

10.1186/2251-7456-6-20 ◽

2012 ◽

Vol 6 (1) ◽

pp. 20

Author(s):

Pongsakorn Sunthrayuth ◽

Poom Kumam

Keyword(s):

Variational Inequalities ◽

Fixed Points ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Common Fixed Points ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-177 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 1

Author(s):

Pongsakorn Sunthrayuth ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.05.002 ◽

2008 ◽

Vol 56 (9) ◽

pp. 2312-2322 ◽

Cited By ~ 9

Author(s):

Lu-Chuan Ceng ◽

Ngai-Ching Wong ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Common Fixed Point ◽

Nonexpansive Mappings ◽

Finite Family ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Viscosity Methods for Approximating Solutions of Variational Inequalities for Asymptotically Nonexpansive Mappings

Open Journal of Mathematical Analysis ◽

10.30538/psrp-oma2018.0015 ◽

2018 ◽

Vol 2(2018) (2) ◽

pp. 27-40

Author(s):

Muhammad Akmal ◽

◽

Muhammad Saqib Khan ◽

Shahzad Ahmad Maitla ◽

◽

...

Keyword(s):

Variational Inequalities ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Approximating solutions of variational inequalities for asymptotically nonexpansive mappings

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.01.078 ◽

2009 ◽

Vol 212 (1) ◽

pp. 51-59 ◽

Cited By ~ 9

Author(s):

S.S. Chang ◽

H.W.J. Lee ◽

Chi Kin Chan ◽

J.K. Kim

Keyword(s):

Variational Inequalities ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Erratum to “Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces” [Nonlinear Anal. 64 (2006) 558–567]

Nonlinear Analysis ◽

10.1016/j.na.2006.04.022 ◽

2007 ◽

Vol 66 (12) ◽

pp. 2980-2981

Author(s):

Naseer Shahzad ◽

Aniefiok Udomene

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Nonlinear Anal ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Convergence theorems for uniformly quasi-ϕ-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2011-96 ◽

2011 ◽

Vol 2011 (1) ◽

Cited By ~ 2

Author(s):

Siwaporn Saewan ◽

Poom Kumam

Keyword(s):

Variational Inequalities ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Convergence Theorems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive ◽

Generalized Equilibrium

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Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings

Optimization ◽

10.1080/02331934.2019.1647203 ◽

2019 ◽

pp. 1-26 ◽

Cited By ~ 6

Author(s):

Lu-Chuan Ceng ◽

Meijuan Shang

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Extragradient Methods ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2005.03.114 ◽

2006 ◽

Vol 64 (3) ◽

pp. 558-567 ◽

Cited By ~ 24

Author(s):

Naseer Shahzad ◽

Aniefiok Udomene

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.01.007 ◽

2009 ◽

Vol 354 (2) ◽

pp. 469-477 ◽

Cited By ~ 13

Author(s):

A.R. Khan ◽

F. Akbar

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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